Linac Run Plan April 2018, Dr. McNulty

Calculations

Assuming [math]100\frac{mA}{pulse}[/math] and a pulse width of [math]100ns[/math]

Then [math]100\frac{mA}{pulse}=100\frac{mC}{s*pulse}=0.1\frac{C}{s*pulse}[/math]

[math]0.1\frac{C}{s*pulse}(100ns)=10*10^{-9}\frac{C}{pulse}[/math]

[math]10*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=6.2422*10^{10}\frac{e-}{pulse}[/math]

Absorbed Dose Information

OSL

[math]\frac{1}{1000}[/math] of a pulse. ~62mil e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]4.46596*10^{6} MeV[/math]

OSL geometry: 0.501cm radius cylinder of 0.03cm thickness with beam incident on flat face.

OSL Crystal density[math]=3.9698\frac{g}{cm^{3}}[/math]

Mass of a single OSL crystal: [math](\pi(0.501)^{2}*(0.03))*(3.9698)=0.0234777g[/math]

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes [math]4.46596*10^{9} MeV[/math]

Converting to Joules for dose calculation: [math]4.46596*10^{9} MeV=7.15525*10^{-4}J[/math]

Average dose per pulse [math]\frac{7.15525*10^{-4}J}{0.0234777*10^{-3}\ Kg}=30.4768\ Gy=3047.68\ rad[/math]

Quartz

[math]\frac{1}{1000}[/math] of a pulse. ~62mil e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]4.71875*10^{8} MeV[/math]

Quartz Geometry: 1 inch cylinder with electrons incident upon the base of the cylinder.

Quartz density[math]=2.32\frac{g}{cm^{3}}[/math]

Mass of Quartz used in simulation: [math](\pi(1.27)^{2}*(2.54))*(2.32)=29.8593g[/math]

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes [math]4.71875*10^{11} MeV[/math]

Converting to Joules for dose calculation: [math]4.71875*10^{11} MeV=0.0756027J[/math]

Average dose per pulse [math]\frac{0.0756027\ J}{29.8593*10^{-3}\ Kg}=2.53196\ Gy=253.196\ rad[/math]

---

Thesis